How do I secure my damage remote events?

I have a damage script that uses remote events. I want to secure it so someone couldn't just constantly fire it to kill everyone. The scripts :

--local script
local attacking = false
function onKeyPress(actionName, userInputState, inputObject)
	if userInputState == Enum.UserInputState.Begin and attacking == false then
attacking = true
local rs = game:GetService("ReplicatedStorage")
local player = game.Players.LocalPlayer
local name = player.Name
local o = name.."swordout"
local f = rs.PlayerStuff
local so = f:FindFirstChild(o)
so:FireServer()
script.Parent.Handle.SlashSound:Play()
	wait(1)
attacking = false
	end
end
game.ContextActionService:BindAction("keyPress", onKeyPress, false, Enum.KeyCode.Q)

--server script
local attacking = false
local rs = game:GetService("ReplicatedStorage")
local player = script.Parent.Parent.Parent.Character
local name = player.Name
local o = name.."swordout"
local f = rs.PlayerStuff
local so = f:FindFirstChild(o)
so.OnServerEvent:Connect(function()	
attacking = true
local a = script.Parent.Basic
local h = player.Humanoid
local animTrack = h:LoadAnimation(a)
animTrack:Play()
wait(1)
attacking = false
end)

script.Parent.Handle.Touched:Connect(function (hit)
	local h = hit.Parent
	if h:FindFirstChild("Humanoid") and attacking == true then
			local hum = h.Humanoid
			local dmg = script.Parent.Damage.Value
			hum:TakeDamage(dmg)
			attacking = false
	end
end)

I was thinking about using a distancefromcharacter, but that wouldn't work because they'd just have to walk up to someone. What should I do to secure this?